Fuzzy Geometric Programming in Multivariate Stratified Sample Surveys in Presence of Non-Response with Quadratic Cost Function

Shafiullah ?Mohammad Faisal Khan; Irfan Ali

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Fuzzy Geometric Programming in Multivariate Stratified Sample Surveys in Presence of Non-Response with Quadratic Cost Function

机译：具有二次成本函数的无响应多变量分层抽样调查中的模糊几何规划

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In this paper, the problem of non-response with significant travel costs in multivariate stratified sample surveys has been formulated of as a Multi-Objective Geometric Programming Problem (MOGPP). The fuzzy programming approach has been described for solving the formulated MOGPP. The formulated MOGPP has been solved with the help of LINGO Software and the dual solution is obtained. The optimum allocations of sample sizes of respondents and non respondents are obtained with the help of dual solutions and primal-dual relationship theorem. A numerical example is given to illustrate the procedure.? ?

机译：在本文中，多层次分层样本调查中旅行成本高的无响应问题已被表述为多目标几何规划问题（MOGPP）。已经描述了用于解决所制定的MOGPP的模糊编程方法。借助LINGO软件已解决了制定的MOGPP，并获得了双重解决方案。借助对偶解和原对偶关系定理，可以得到受访者和非受访者的样本量的最佳分配。数值例子说明了该过程。？

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《American Journal of Operations Research》 |2014年第3期|共16页
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Shafiullah ?Mohammad Faisal Khan; Irfan Ali;
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中图分类工程基础科学;
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1. Fuzzy Geometric Programming in Multivariate Stratified Sample Surveys in Presence of Non-Response with Quadratic Cost Function [J] . Shafiullah, Mohammad Faisal Khan, Irfan Ali American journal of operations research . 2014,第3期

机译：带有二次成本函数的无响应多变量分层抽样调查中的模糊几何规划
2. Multi-objective geometric programming approach in multivariate stratified sample survey with quadratic cost function [J] . Ullah Shafi, Agarwal Ravi P. Journal of statistical computation and simulation . 2016,第10a12期

机译：具有二次成本函数的多元分层样本调查中的多目标几何规划方法
3. Geometric programming approach in multivariate stratified sample surveys in case of non-response [J] . Ali Irfan, ullah Shafiullah, Haseen Sanam Electronic Journal of Applied Statistical Analysis . 2015,第1期

机译：在无响应的情况下进行多元分层抽样调查的几何规划方法
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5. Linear programming and quadratic programming approach for graduation in fuzzy environment. [D] . Sharma, Vivek Narain. 2001

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6. Post-sampling mortality and non-response patterns in the English Cancer Patient Experience Survey: Implications for epidemiological studies based on surveys of cancer patients [O] . Gary A. Abel, Catherine L. Saunders, Georgios Lyratzopoulos -1

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7. Fuzzy Geometric Programming in Multivariate Stratified Sample Surveys in Presence of Non-Response with Quadratic Cost Function [O] . Shafiullah nbsp, Mohammad Faisal Khan, Irfan Ali 2014

机译：具有二次成本函数的非反应存在的多变分样本调查中的模糊几何规划

Fuzzy Geometric Programming in Multivariate Stratified Sample Surveys in Presence of Non-Response with Quadratic Cost Function

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